Fantasy Birds

General

This is a port of the haskell package Data.Aviary.Birds. Every thing for your combinatory needs.

Check out the docs to see all available birds.

Ornithology

applicator :: (a -> b) -> a -> b

A combinator or apply

> applicator(x => x + 1)(3)
4

becard :: (c -> d) -> (b -> c) -> (a -> b) -> a -> d

B3 combinator or function composition (for three functions)

> becard(x => x * -1)(x => x * 2)(x => x - 1)(3)
-4

blackbird :: (c -> d) -> (a -> b -> c) -> a -> b -> d

B1 combinator

> blackbird(x => x * -1)(x => y => x + y)(3)(5)
-8

bluebird :: (b -> c) -> (a -> b) -> a -> c

B combinator or function composition

> bluebird(x => x * 2)(x => x - 1)(3)
4

bluebird_ :: (a -> c -> d) -> a -> (b -> c) -> b -> d

B' combinator

> bluebird_(x => y => x * y)(2)(x => x + 1)(2)
6

bunting :: (d -> e) -> (a -> b -> c -> d) -> a -> b -> c -> e

B2 combinator

> bunting(x =>  x * -1)(x => y => z => x + y + z)(1)(2)(3)
-6

cardinal :: (a -> b -> c) -> b -> a -> c

C combinator or flip

> cardinal(str => prefix => prefix + str)('-')('birds')
'-birds'

cardinal_ :: (c -> a -> d) -> (b -> c) -> a -> b -> d

C' combinator

> cardinal_(x => y => x * y)(x => x + 1)(2)(3)
8

cardinalstar :: (a -> c -> b -> d) -> a -> b -> c -> d

C* combinator - cardinal once removed.

> cardinalstar(str => prefix => postfix => prefix + str + postfix)('birds')('!')('-')
'-birds!'

cardinalstarstar :: (a -> b -> d -> c -> e) -> a -> b -> c -> d -> e

C** combinator - cardinal twice removed.

> cardinalstarstar(a => b => separator => postfix => a + separator + b + postfix)('fantasy')('birds')('!')('-')
'fantasy-birds!'

dickcissel :: (a -> b -> d -> e) -> a -> b -> (c -> d) -> c -> e

D1 combinator

> dickcissel(prefix => postfix => str => prefix + str + postfix)('-')('!')(x => x.toUpperCase())('birds')
'-BIRDS!'

dove :: (a -> c -> d) -> a -> (b -> c) -> b -> d

D combinator

> dove(postfix => str => str + postfix)('!')(x => x.toUpperCase())('birds')
'BIRDS!'

dovekie :: (c -> d -> e) -> (a -> c) -> a -> (b -> d) -> b -> e

D2 combinator

> dovekie(prefix => str => prefix + str)(x => x.toUpperCase())('fantasy-')(x => x.toLowerCase())('BIRDS')
'FANTASY-birds'

eagle :: (a -> d -> e) -> a -> (b -> c -> d) -> b -> c -> e

E combinator

> eagle(prefix => str => prefix + str)('-')(str => postfix => str + postfix)('birds')('!')
'-birds!'

eaglebald :: (e -> f -> g) -> (a -> b -> e) -> a -> b -> (c -> d -> f) -> c -> d -> g

E^ combinator

> eaglebald(x => y => y + x)(a => b => b + a)('!')('birds')(a => b => a + b)('fantasy')('-')
'fantasy-birds!'

finch :: a -> b -> (b -> a -> c) -> c

F combinator

> finch(-1, 3)(x => y => x * y)
-3

finchstar :: (c -> b -> a -> d) -> a -> b -> c -> d

finchstarstar :: (a -> d -> c -> b -> e) -> a -> b -> c -> d -> e

goldfinch :: (b -> c -> d) -> (a -> c) -> a -> b -> d

hummingbird :: (a -> b -> a -> c) -> a -> b -> c

idiot :: a -> a

identity

> idiot('bird')
'bird'

idstar :: (a -> b) -> a -> b

idstarstar :: (a -> b -> c) -> a -> b -> c

jalt :: (a -> c) -> a -> b -> c

jalt_ :: (a -> b -> d) -> a -> b -> c -> d

jay :: (a -> b -> b) -> a -> b -> a -> b

kestrel :: a -> b -> a

K combinator or const

> kestrel('bird')('cat')
'bird'

kite :: a -> b -> b

owl :: ((a -> b) -> a) -> (a -> b) -> b

phoenix :: (b -> c -> d) -> (a -> b) -> (a -> c) -> a -> d

psi :: (b -> b -> c) -> (a -> b) -> a -> a -> c

PSI combinator or on

> psi(x => y => x + y)(x => x * -1)(3)(5)
-8

quacky :: a -> (a -> b) -> (b -> c) -> c

queer :: (a -> b) -> (b -> c) -> a -> c

quirky :: (a -> b) -> a -> (b -> c) -> c

quixotic :: (b -> c) -> a -> (a -> b) -> c

quizzical :: a -> (b -> c) -> (a -> b) -> c

robin :: a -> (b -> a -> c) -> b -> c

robinstar :: (b -> c -> a -> d) -> a -> b -> c -> d

robinstarstar :: (a -> c -> d -> b -> e) -> a -> b -> c -> d -> e

starling :: (a -> b -> c) -> (a -> b) -> a -> c

starling_ :: (b -> c -> d) -> (a -> b) -> (a -> c) -> a -> d

thrush :: a -> (a -> b) -> b

vireo :: a -> b -> (a -> b -> c) -> c

vireostar :: (b -> a -> b -> d) -> a -> b -> b -> d

vireostarstar :: (a -> c -> b -> c -> e) -> a -> b -> c -> c -> e

warbler :: (a -> a -> b) -> a -> b

warbler1 :: a -> (a -> a -> b) -> b

warblerstar :: (a -> b -> b -> c) -> a -> b -> c

warblerstarstar :: (a -> b -> c -> c -> d) -> a -> b -> c -> d